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If g(x)=(1-a^x+x a^xloga)/(x^2*a^x), x<0...

If `g(x)=(1-a^x+x a^xloga)/(x^2*a^x), x<0` `((2a)^x-xlog(2a)-1)/(x^2), x >0` (where a > 0) then find a and `g(0)` so that `g(x)` is continuous at `x=0.`

A

`(-1)/(sqrt(2))`

B

`(1)/(sqrt(2))`

C

2

D

-2

Text Solution

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The correct Answer is:
B
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